| Center |
| Faculty of Mathematics |
| Departament |
| Mathematical Analysis |
| Lecturers in charge |
| F9081 - JOSE LUIS BLASCO OLCINA |
| Met. Docent |
| Practical and theoretical classes |
| Met. Avaluació |
| Final examination |
| Bibliografia |
| 1. AUBIN, J. L´Analyse non lineaire et ses motivations économiques, Masson, 1984 2. FLEMING, W. Funciones de varias variables. Cecsa. 1969 3. GALÉEV, G. V. Breve curso de la teoría de problemas extremales, Mir. 1991 4. JAMESON, G. Topology and normed spaces, Chapman and Hall, 1974 5. LAURENT, P Approximation et optimisation, Herrman, 1972 6. VAN TIEL, J. Convex Analysis_ An introductory Text, John Wiley and Sons, 1984 7. ZEIDLER, 3. Nonlinear Functional Analysis and its Applications III, Springer Verlag, 1985. |
| Continguts |
| Metric spaces. Normed and prehilbert spaces. Convex functions. Continuous linear functions.Separation theorems of convex sets Convex programming Convex analysis and convex calculus Dual problems |
| Objetius |
| To introduce the students into convex Analysis in normed spaces. To do so, we study the basic and fundamental concepts of this part of Mathematics. The theorems of Hahn-Banach and Kuhn-Tucker are shown in detail during the course.Also the continuity and subdifferentiability of convex functionals are studied. |
| URL de Fitxa |